DIsct MAth

1. Consider the "coin flipping game", and let X record the �first time when the Head" player has $1. What is the probability that X � 7?


2. Continue with the "coin flipping game". Let Y record the fi�rst point in time when the "Head" player has $2. What is the probability that Y � 7? What is the probability that Y is even? What is the probability that Y is odd(Do these latter two probabilities sum to 1?)

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  1. for #1 What is the probability that X<=7

    For #2 What is the probability that Y <= 7.

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